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Finding the Fourth Proportional to 55,751.52, 77,036.76 and 41,469

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Solution

The fourth proportional to 55,751.52, 77,036.76 and 41,469 is: 57,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,751.52 : 77,036.76 = 41,469 : x
  2. Step 2: Convert to fraction form
    55,751.52/77,036.76 = 41,469/x
  3. Step 3: Cross multiply
    55,751.52x = 77,036.76 × 41,469
  4. Step 4: Simplify right side
    55,751.52x = 3,194,637,400.44
  5. Step 5: Solve for x
    x = 3,194,637,400.44/55,751.52
  6. Step 6: Final answer
    x = 57,301.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.